Math, asked by sparsha97, 1 year ago

3rd. Pls show the sum

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sparsha97: in 3rd step 2 can be taken common

Answers

Answered by Vanshsharma420
1
Thanks for asking
Hope it will help
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Anoop90: good work
sparsha97: it helped
sparsha97: thank u
Answered by TheUrvashi
7
Hey

HERE IS THE ANSWER

Given sides =x cm and (X+4) cm.

sum of areas of two squares =
 {656cm}^{2}
As we know the area of square
 =  {side}^{2}sq.unit
so A/q
 {x}^{2}  + ( {x + 4)}^{2}  = 656 \\  {x}^{2}  +  {x}^{2}  + 8x + 16 - 656 = 0 \\  {2x}^{2}  + 8x - 640 = 0 \\  {x}^{2}  + 20x - 16x - 320 = 0 \\ x(x + 20) - 16(x + 20) = 0 \\ x + 20 = 0 \:  \:  \: or \:  \:  \: x - 16 = 0 \\ x =  - 20 \: or \: x = 16 \:  hence \: x = 16 \\ since \: side \: cannot \: be \: negative \\  \\  x + 4 = 16 + 4 = 20 \\ therefore \: sides \: of \: the \: square \: are \:  \: 16cm \: and \: 20cm
Hope it helps to you.


RajendraBhukar: hi riya nice answer you are writing in maths
RajendraBhukar: hi
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